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Finding the Fourth Proportional to 3,720.63, 5,575 and 1,965.56

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Solution

The fourth proportional to 3,720.63, 5,575 and 1,965.56 is: 2,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.63 : 5,575 = 1,965.56 : x
  2. Step 2: Convert to fraction form
    3,720.63/5,575 = 1,965.56/x
  3. Step 3: Cross multiply
    3,720.63x = 5,575 × 1,965.56
  4. Step 4: Simplify right side
    3,720.63x = 10,957,997
  5. Step 5: Solve for x
    x = 10,957,997/3,720.63
  6. Step 6: Final answer
    x = 2,945.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.